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Finding the Fourth Proportional to 611.38, 917.22 and 264.77

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Solution

The fourth proportional to 611.38, 917.22 and 264.77 is: 397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 917.22 = 264.77 : x
  2. Step 2: Convert to fraction form
    611.38/917.22 = 264.77/x
  3. Step 3: Cross multiply
    611.38x = 917.22 × 264.77
  4. Step 4: Simplify right side
    611.38x = 242,852.19
  5. Step 5: Solve for x
    x = 242,852.19/611.38
  6. Step 6: Final answer
    x = 397.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.